SAT Prep websites inquiry

Discussion in 'Secondary Education' started by chessimprov, Sep 16, 2011.

  1. chessimprov

    chessimprov Rookie

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    Sep 16, 2011

    Where are could places I can access tests for free and other worksheets geared toward studying for the SAT, preferably by topic? Thank you.
     
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  3. Aliceacc

    Aliceacc Multitudinous

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    Sep 16, 2011

    This isn't free, but it's close:
    http://www.amazon.com/Up-Your-Score...9422/ref=sr_1_2?ie=UTF8&qid=1316166483&sr=8-2 ... shipping will cost more than the book itself, and it's a wonderful resource for "beat the test" type tips.

    Beyond that, though, I'm not sure.

    Here's a sheet I give my SAT kid on tactics:
    TACTICS: #1: Know when to use your calculator:
    - to do arithmetic more quickly than you could do in by hand

    #2: Know when NOT to use your calculator:
    -Many problems on the SAT do NOT require the use of a calculator. Stop and think for a second: is this merely a question on times tables? Is there a fraction I can reduce to lowest terms? Can this be factored?
    If you find yourself doing LOTS of calculations on a problem, stop and come back to it later; you’re missing the shortcut.

    TACTIC: #3: Keep careful track of time. You’ll be taking the test at KMHS, so each class has a clock. But you may not be seated in a spot where you can see it well. (You will NOT be seated alphabetically!) Start wearing a watch and be aware of the time you’re spending on any one problem.

    TACTIC: Don’t read the directions or look at the sample question. You’ll be taking this course for 8 months prior to the SAT. That’s a LOT of time spent doing SAT prep questions. By the time you take the exam in May, you should KNOW the directions… don’t waste valuable time on that day reading them.


    TACTIC: Answer the easy questions first. The questions on the SAT are arranged in each section, from easy to medium to hard. But each question is worth the same amount. So be SURE you’ve answered all the easy questions before you spend time on a hard question.

    TACTIC: Learn to eliminate choices so your guesses will be more accurate. Very often you can eliminate one or more choices… maybe the problem deals with area of a circle, and there’s no in two of the choices, for example. Eliminate those you KNOW to be wrong and guess among the others if you can’t find the correct answer.

    TACTIC: Make sure you answer the question asked. If the problem asks for “n+3”, the odds are good that the value of n will be one of the INCORRECT choices. Be sure to read carefully and answer what is asked.

    TACTIC: Don’t change answers capriciously. If you notice a mathematical error, change your answer. But don’t let your “gut” tell you that you should change an answer unless you have a concrete reason. That’s not your gut, it’s nerves. Studies show that your first instinct is usually the correct one.


    TACTIC: Pay attention to units. Often the answer is in a different unit than the one in the question (say, dollars as opposed to cents or hours as opposed to minutes.) The wrong unit is very often one of the incorrect answers.
    Generally, it’s easier to change to a lot of small units than a fewer amount of large units.



    TACTIC: When you use your calculator, don’t go too quickly. Try to watch as you’re typing the numbers and symbols in. Use the key to erase errors one digit at a time.
    TACTIC: Test the choices, starting with C. Sometimes it’s easiest to plug in each choice. Start with the middle number; they’re normally arranged in ascending order. If that turns out to be too large or too small, you’ll have an idea of which type of number to try next.

    TACTIC: Draw a diagram. On any geometry problem that doesn’t have a diagram, draw one yourself. Artistic ability doesn’t count, but draw what you’re given.

    TACTIC: If a diagram is drawn to scale, trust it and use your eyes. These diagrams are drawn by professionals. On the SAT, if it looks isosceles, it IS isosceles. If it looks obtuse, it IS obtuse.
    If a diagram is NOT drawn to scale, it will say so.

    TACTIC: If a diagram is NOT drawn to scale (and says so) redraw it to scale.

    TACTIC: Replace variables with convenient numbers. Solve the problem using those numbers. Then evaluate each of the choices using those same numbers, to find the one equal to the one you got.

    TACTIC: Add or subtract to find the shaded region. If a picture has a “hole” in it, subtract, If two shapes are “attached”, add the individual areas.

    TACTIC: Don’t do more than you have to. On the SAT, unlike in a math class, you seldom have to do a lot of work to solve a problem. You don’t always have to find x in order to know 2x+3. Keep an eye on what they’re asking you to find and stop when you have it.


    Pythagorean Triples: 3-4-5
    5-12-13
    8-15-17
    7-24-25

    TACTIC: Add a line (or lines) to a diagram. Any shape, regardless of its number of sides, can be broken down to a combination of triangles. Choose a vertex, and draw lines to each of the other vertices.

    TACTIC: Eliminate absurd choices and guess. Very often you can eliminate one or more choices simply because they can’t be right. (For example, a price increase should mean the price goes UP.)

    TACTIC: Handle strange symbols properly. Very often SAT questions involve a symbol such as #, $ or * which has been invented for just those questions. Read the definition thoroughly and follow the instructions. Sometimes there will be two questions based on the same symbol; the first one will almost always be easy.
     
  4. Aliceacc

    Aliceacc Multitudinous

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    Sep 16, 2011

    And another I give of formulas for them to know:

    (Oops, the formulas are written in Mathtype and aren't showing up. But they're easy enough to look up. I'll fill in the few that are easy to.)

    SETS OF NUMBERS:
    Even numbers: 0 , 2, 4. 6....
    (even#)(any #)=even # (odd #)(odd #)= odd #

    Integers: (positive #)(positive #) = positive #
    (negative #)(negative #) = positive #
    (positive #)( negative #) = negative #

    (any #) (its reciprocal) =1 (any #) + (its opposite) =0

    EXPONENTS AND RADICALS
    -Know how to use the exponent and radical keys
    -Remember: x = , = (x to the one half = square root, 1/3 = cube root)

    - Negative exponents: take the reciprocal of the base
    - switch term from top to bottom (or the reverse)

    ANYTHING raised to the ZERO power equals ONE.

    A POSTIVE raised to any power is positive.

    A NEGATIVE raised to an EVEN power is positive.

    A NEGATIVE raised to an ODD power is negative.

    On the SAT, you cannot take the square root of a negative number. (There are NO imaginary numbers on the SAT.)

    PEMDAS AND PARENTHESES
    Your calculator uses Order of Operations (PEMDAS.)

    Sometimes you’ll need to use parentheses to get the phrase typed in correctly.

    -Remember the Distributive Property: a(b + c)=ab + ac
    FRACTIONS AND DECIMALS
    Know how to use the key on your calculator and how to use the “d/c” heading above it .

    Remember, the “f d” heading above the key changes fractions to and from decimals.

    To compare fractions, change them to decimals.

    Decimals INCREASE as they go from left to right on the number line. even a tiny positive decimal is larger than any negative decimal.

    To reduce a fraction to lowest terms, type in the fraction and hit “=”

    Remember how to round off a decimal using the “FIX” function.

    POLYNOMIALS
    - Remember: you can only add or subtract LIKE TERMS (same variables, raised to the same power.)

    -To multiply powers of the same base, ADD the exponents
    -To divide powers of the same base, SUBTRACT the exponents

    -To raise a power to a power, MULTIPLY the exponents.


    PERCENTS
    Percent means “divided by 100”

    Use :

    To increase by 12 percent: find 112% of the number. (The first 100% accounts for the word “increase.”)

    To find a discount of 8%, find 92% of the number.
    (100% - the amount of the discount.)

    Percents are NOT cumulative: consecutive discounts of 10% and15% do NOT equal a discount of 25% ; the second discount is of a different number.

    RATIO AND PROPORTION
    If two numbers are in the ratio a:b, let ax= the first and bx= the second.

    Solve proportions by cross multiplication.

    For double ratio problems:
    (for example, a:b=1:3, but b:c=2:5)
    -- Find the term that both have in common—here it’s b
    -- Express both in terms of the LCM: the lcm of 3 and 2 is 6, so let b=6.
    -- Use proportions to find the other values:
    , So a=2, b=6 and c=15

    Direct proportion: quotient is a constant
    Inverse proportion: product is a consant

    AVERAGES
    The average is the arithmetic mean. Symbol:

    Mean = sum of the scores / # of scores

    ALWAYS find the sum of the scores in an average problem. Multiply the # of scores by the average.

    If you KNOW the average, you can assume that each score has that value unless you’re told otherwise. So, for example, if the average of 8 scores is 75, you can assume that all of them are 75 until you find out differently.

    Median= the score in the middle when scores are arranged in order. (The median in the parkway is that strip in the MIDDLE.)

    Mode= the score with the highest frequency: the one that comes up most often.
    FOIL AND FACTORING

    To multiply 2 binomials, use FOIL
    In general on the SAT, if it can be multiplied, multiply it. If it can be factored, factor it.

    KNOW:
    (x+y)(x-y) = x -y

    (x+y) = (x+y)(x+y) = x +2xy+y

    (x-y) = (x-y)(x-y) = x -2xy+y

    SYSTEMS OF EQUATIONS
    In general, you should have the same number of equations as you have variables.

    On the SAT, VERY OFTEN you can simply add or subtract the equations to get what they’re asking for. For example:
    3x+y=7
    2x-5y=12
    Find 5x-4y. Normally you would have to solve for x and y, then substitute. But if you simply add the equations you’ll have the 5x-4y you need.




    Another common problem type;
    x - y =20, (x squared - y squared =20) x – y =5 Find x + y.

    You don’t need to find the values of x and y, just factor:
    x - y = (x-y)(x+y)
    20 = 5 (x+y)
    x + y = 4
    VERBAL PROBLEMS:

    (Rate)(time)= distance

    Interest= (principal)(rate)(time) where the rate is a %

    Consecutive integers: x, x+1, x+2…
    Consecutive even integers: x, x+2, x+4…
    Consecutive odd integers: x, x+2, x+4…

    Mixture: (amount) (cost)= total

    Age problems: years ago: subtract
    Years from now: add Very often you need to find the age NOW.

    CIRCLES
    - You’re given the formulas for area and circumference. If you usually mix them up, be sure to look them up.

    - If a region is curved, both its length and area need to include the symbol “ pi”

    Length of arc:

    A sector is shaped like a piece of pie.


    Area of sector:


    Area of a semi circle =

    ANGLES AND TRIANGLES
    The sum of the angles of a triangle = 180 degrees

    Short side + medium side > long side

    For Right Triangles:pythagorean triples: (longest side is the hypotenuse)
    3-4-5
    5-12-13
    8-15-17
    7-24-25

    Area of an equilateral triangle: A=

    Exterior angle of a triangle= sum of 2 interior non-adjacent angles.


    POLYGONS:
    Regular polygon: all sides =, all angles =
    Sum of interior angles: 180(n-2)
    Each interior angle: 180(n-2)/ n
    Sum of exterior angles: 360
    Each exterior angle: 360/n

    Area of a square: 1/2 d1*d2 Area of a rhombus:1/2 d quared


    Number of sides name
    3 triangle
    4 quadrilateral
    5 pentagon
    6 hexagon
    8 octagon
    10 decagon

    COORDINATE GEOMETRY
    Slope: m=

    Distance: d=


    Midpoint:

    A midpoint is just the average of each set of x’s and each set of y’s.

    Parallel lines have the same slopes.
    Perpendicular lines have reciprocals which are negative reciprocals.

    COUNTING AND PROBABLITY

    P(e)= (the number of ways e can occur) / (the total number of possibilities)

    P(impossible event)=0
    P(definite event)=1
    All other probabilities fall somewhere between 0 and 1.

    Counting principle: If one event can occur “a” ways, and a second event can occur “b” ways, then the total number of ways both can occur is ab.

    In probability, “or” means add, “and” means multiply.
     
  5. chessimprov

    chessimprov Rookie

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    Sep 30, 2012

    Thank you for all your help aliceacc! Sorry for taking a year to notice this! My jobs have been craazy!!
     

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